On the lattice formed by all normal subloops of a finite loop

DOI10.1007/BF01267637zbMath0837.20083MaRDI QIDQ1900057

Huberta Lausch

Publication date: 21 April 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

normal subgroupsBoolean algebrasAbelian \(p\)-groupsprojective geometriescomplemented latticeslattice of normal subgroupssimple loopsFrattini subloopdirect product of simple subloopsfinite centrally nilpotent loopsnormal subloop lattices

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Loops, quasigroups (20N05) Structure and representation theory of distributive lattices (06D05) Complemented modular lattices, continuous geometries (06C20)

Cites Work

• Gruppen mit geometrischen Abschnitten im Untergruppenverband (On groups with geometric sections in their lattice of subgroups)
• Loops with distributive and geometric subloop lattices
• Finite groups whose subgroup, composition subgroup, or normal subgroup lattice is an ortholattice
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the lattice formed by all normal subloops of a finite loop